Question

y=2x-4 and x+2y=10 substitute y in the second equation. what is the resulting equation

Answer 1

x + 2y = 10 becomes  x + 2(2x-4) = 10.  Thus, x + 4x - 8 = 10, and 5x = 18.

Answer 2

Hi there!

In order to solve for x and y here, we'll be using a cool thing called substitution! First, we'll substitute the value of y into the second equation.

Value of y = 2x - 4
Substituting: x + 2(2x - 4) = 10
Distribute: x + 4x - 8 = 10
Solve: 5x - 8 = 10
5x = 18
x = 18/5 or 3.6

Now, we'll use the value of x and substitute that in to the first equation and solve for y.

Value of x = 18/5 or 3.6
Substituting: y = 2(3.6) - 4
Solve: y = 7.2 - 4
y = 3.2 or 16/5

Hope this helps!! :)
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